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相关论文: Stochastic inflation with quantum and thermal nois…

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Potential slow-roll parameters are widely used in inflationary cosmology to estimate the scalar and tensor perturbation amplitudes and the scalar spectral index, although the inflationary observables are fundamentally expressed in terms of…

广义相对论与量子宇宙学 · 物理学 2026-05-19 Jose Mathew

The formalism of stochastic inflation is a powerful tool for analyzing the backreaction of cosmological perturbations, and making precise predictions for inflationary observables. We demonstrate this with the simple $m^2\phi^2$ model of…

高能物理 - 理论 · 物理学 2015-09-02 Laurence Perreault Levasseur , Evan McDonough

By introducing the small noise expansion techniques, we show that the fully nonlinear (non-Markovian) stochastic inflationary system, may be re-cast in terms of an infinite set of Wiener processes (stochastic equations with white noises).…

宇宙学与河外天体物理 · 物理学 2025-04-02 Diego Cruces , Cristiano Germani , Amin Nassiri-Rad , Masahide Yamaguchi

We discuss Einstein-Klein-Gordon system in an environment of an infinite number of scalar fields leading to an external thermal noise. In the lowest order of metric and field perturbations the quadratic fluctuations consist of a sum of…

广义相对论与量子宇宙学 · 物理学 2019-05-22 Z. Haba

Certain models of cosmic inflation produce strong cosmological perturbations at short length scales, which may later collapse into primordial black holes. To find the statistics of these strong perturbations and the ensuing black holes, it…

宇宙学与河外天体物理 · 物理学 2022-03-02 Eemeli Tomberg

In this paper we investigate the general features of "Oscillatory Inflation". In adiabatic approximation, we derive a general formula for the number of e-foldings $\tilde{N}$ which reduces to the standard expression in case of the slow role…

广义相对论与量子宇宙学 · 物理学 2014-11-17 M. Sami

The non-linear dynamics of long-wavelength cosmological fluctuations may be phrased in terms of an effective classical, but stochastic evolution equation. The stochastic noise represents short-wavelength modes that continually redshift into…

高能物理 - 唯象学 · 物理学 2022-02-23 Jens O. Andersen , Magdalena Eriksson , Anders Tranberg

Stochastic effects in multi-field inflationary scenarios are investigated. A hierarchy of diffusion equations is derived, the solutions of which yield moments of the numbers of inflationary $e$-folds. Solving the resulting partial…

高能物理 - 理论 · 物理学 2016-08-24 Hooshyar Assadullahi , Hassan Firouzjahi , Mahdiyar Noorbala , Vincent Vennin , David Wands

We compute the growth of the mean square of quantum fluctuations of test fields with small effective mass during a slowly changing, nearly de Sitter stage which took place in different inflationary models. We consider a minimally coupled…

高能物理 - 理论 · 物理学 2010-10-11 F. Finelli , G. Marozzi , A. A. Starobinsky , G. P. Vacca , G. Venturi

Assuming that the e-folding number is just determined by the change of the scale factor, the tachyonic inflation theory in LQC has been discussed. Considering the tachyon field with exponential potential and inverse quadratic potential, we…

广义相对论与量子宇宙学 · 物理学 2014-12-16 Kui Xiao , Xiao-Kai He , Fei Huang , Jian-Yang Zhu

We present a review on the state-of-the-art of the mathematical framework known as stochastic inflation, paying special attention to its derivation and giving references for the readers interested on results coming from the application of…

广义相对论与量子宇宙学 · 物理学 2022-06-20 Diego Cruces

Stochastic effects in generic scenarios of inflation with multiple fields are investigated. First passage time techniques are employed to calculate the statistical moments of the number of inflationary $e$-folds, which give rise to all…

宇宙学与河外天体物理 · 物理学 2017-01-25 Vincent Vennin , Hooshyar Assadullahi , Hassan Firouzjahi , Mahdiyar Noorbala , David Wands

In this work we calculate the tensor power spectrum and the tensor-to-scalar ratio r within the frame of the Starobinsky inflationary model using the improved uniform approximation method and the third-order phase-integral method. We…

广义相对论与量子宇宙学 · 物理学 2021-05-12 Truman Tapia , Clara Rojas

Stochastic description of inflationary spacetimes emulates the growth of vacuum fluctuations by an effective stochastic ``noise field'' which drives the dynamics of the volume-smoothed inflaton. We investigate statistical properties of this…

广义相对论与量子宇宙学 · 物理学 2009-10-31 S. Winitzki , A. Vilenkin

Making observable predictions for cosmic inflation requires determining when the wavenumbers of astrophysical interest today exited the Hubble radius during the inflationary epoch. These instants are commonly evaluated using the slow-roll…

宇宙学与河外天体物理 · 物理学 2024-10-17 Pierre Auclair , Baptiste Blachier , Christophe Ringeval

During inflation explicit perturbative computations of quantum field theories which contain massless, non-conformal fields exhibit secular effects that grow as powers of the logarithm of the inflationary scale factor. Starobinskii's…

广义相对论与量子宇宙学 · 物理学 2009-11-11 N. C. Tsamis , R. P. Woodard

We consider the impact of quantum diffusion on inflationary dynamics during an ultra-slow-roll phase, which can be of particular significance for the formation of primordial black holes. We show, by means of a fully analytical approach,…

宇宙学与河外天体物理 · 物理学 2020-09-02 Guillermo Ballesteros , Julián Rey , Marco Taoso , Alfredo Urbano

An appealing feature of inflationary cosmology is the presence of a phase-space attractor, "slow roll", which washes out the dependence on initial field velocities. We investigate the robustness of this property under backreaction from…

广义相对论与量子宇宙学 · 物理学 2021-04-05 Julien Grain , Vincent Vennin

We reinterpret Starobinsky's stochastic inflation as an open quantum system, where short-wavelength modes act as the environment for long-wavelength modes. Using the Schwinger-Keldysh formalism, we systematically trace out the environment…

高能物理 - 理论 · 物理学 2025-09-16 Yue-Zhou Li

The warm inflation scenario is an alternative mechanism which can explain the isotropic and homogeneous Universe which we are living in. In this work I extend a previously introduced formalism, without the restriction of slow - roll regime.…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Mauricio Bellini